Mandelbrot set: Difference between revisions
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new Mandelbrot().setVisible(true);
}
}</lang>
=== Interactive ===
{{libheader|Swing}} {{libheader|AWT}}
<lang java>import static java.awt.Color.HSBtoRGB;
import static java.awt.image.BufferedImage.TYPE_INT_RGB;
import static java.lang.Math.abs;
import static java.lang.Math.max;
import static java.lang.Math.min;
import static java.lang.Math.signum;
import java.awt.Dimension;
import java.awt.Graphics;
import java.awt.Insets;
import java.awt.event.KeyAdapter;
import java.awt.event.KeyEvent;
import java.awt.event.MouseAdapter;
import java.awt.event.MouseEvent;
import java.awt.image.BufferedImage;
import java.util.function.Consumer;
import java.util.function.Predicate;
import javax.swing.JFrame;
/*
* click: point to center
* ctrl-click: point to origin
* drag: point to mouse release point
* ctrl-drag: point to origin + zoom
* back-slash: back to previous point
* esc: back to previous zoom point
*/
public class Mandelbrot extends JFrame {
private static final long serialVersionUID = 1L;
private Insets insets;
private int width, height;
private double widthHeightRatio;
private int minX, minY;
private double Zoom;
private int mpX, mpY, mdX, mdY;
private boolean isCtrlDown, ctrl;
private Stack stack = new Stack();
private BufferedImage image;
public static void main(String[] args) {
new Mandelbrot(800, 600); // (800, 600), (1024, 768), (1600, 900)
}
public Mandelbrot(int width, int height) {
super("Mandelbrot Set");
setResizable(false);
setDefaultCloseOperation(EXIT_ON_CLOSE);
Dimension screen = getToolkit().getScreenSize();
setBounds(
((int) screen.getWidth() - width) / 2,
((int) screen.getHeight() - height) / 2,
width,
height
);
addMouseListener(mouseAdapter);
addMouseMotionListener(mouseAdapter);
addKeyListener(
new KeyAdapter() {
public void keyPressed(KeyEvent e) {
isCtrlDown = e.isControlDown();
}
public void keyReleased(KeyEvent e) {
isCtrlDown = e.isControlDown();
}
public void keyTyped(KeyEvent e) {
char c = e.getKeyChar();
boolean isEsc = c == KeyEvent.VK_ESCAPE;
if (!isEsc && c != KeyEvent.VK_BACK_SLASH) return;
stack.pop(isEsc);
repaint();
}
}
);
setVisible(true);
insets = getInsets();
this.width = width -= insets.left + insets.right;
this.height = height -= insets.top + insets.bottom;
widthHeightRatio = (double) width / height;
minX = -width / 2 - 125;
minY = -height / 2;
Zoom = .005;
System.out.println(Zoom);
}
private MouseAdapter mouseAdapter = new MouseAdapter() {
public void mouseClicked(MouseEvent e) {
stack.push(false);
if (!ctrl) {
minX -= (double) width / 2 ;
minY -= (double) height / 2;
}
minX += e.getX() - insets.left;
minY += e.getY() - insets.top;
ctrl = false;
repaint();
}
public void mousePressed(MouseEvent e) {
mpX = e.getX();
mpY = e.getY();
ctrl = isCtrlDown;
}
public void mouseDragged(MouseEvent e) {
if (!ctrl) return;
setMdCoord(e);
repaint();
}
private void setMdCoord(MouseEvent e) {
int dx = e.getX() - mpX;
int dy = e.getY() - mpY;
mdX = (int) (mpX + max(abs(dx), abs(dy)*widthHeightRatio) * signum(dx));
mdY = (int) (mpY + max(abs(dy), abs(dx)/widthHeightRatio) * signum(dy));
acceptIf(insets.left, ge(mdX), setMdXY);
acceptIf(insets.top, ge(mdY), setMdYX);
acceptIf(insets.left+width-1, le(mdX), setMdXY);
acceptIf(insets.top+height-1, le(mdY), setMdYX);
}
private void acceptIf(int value, Predicate<Integer> p, Consumer<Integer> c) { if (p.test(value)) c.accept(value); }
private Predicate<Integer> ge(int md) { return v-> v >= md; }
private Predicate<Integer> le(int md) { return v-> v <= md; }
private Consumer<Integer> setMdXY = v-> mdY = (int) (mpY + abs((mdX=v)-mpX)/widthHeightRatio * signum(mdY-mpY));
private Consumer<Integer> setMdYX = v-> mdX = (int) (mpX + abs((mdY=v)-mpY)*widthHeightRatio * signum(mdX-mpX));
public void mouseReleased(MouseEvent e) {
if (e.getX() == mpX && e.getY() == mpY) return;
stack.push(ctrl);
if (!ctrl) {
minX += mpX - (mdX = e.getX());
minY += mpY - (mdY = e.getY());
}
else {
setMdCoord(e);
if (mdX < mpX) {int t=mpX; mpX=mdX; mdX=t; }
if (mdY < mpY) {int t=mpY; mpY=mdY; mdY=t; }
minX += mpX - insets.left;
minY += mpY - insets.top;
double rZoom = (double) width / abs(mdX - mpX);
minX *= rZoom;
minY *= rZoom;
Zoom /= rZoom;
System.out.println(Zoom);
}
ctrl = false;
repaint();
}
};
private class Stack extends java.util.Stack<Object[]> {
private static final long serialVersionUID = 1L;
public void push(boolean type) {
push(new Object[] {type, minX, minY, Zoom});
}
public synchronized void pop(boolean type) {
for (;;) {
if (empty()) return;
Object[] d = super.pop();
minX = (Integer) d[1];
minY = (Integer) d[2];
Zoom = (Double) d[3];
if (!type || (Boolean) d[0]) return;
}
}
}
@Override
public void paint(Graphics g) {
if (!ctrl) image = newImage();
g.drawImage(image, insets.left, insets.top, this);
//g.setColor(Color.lightGray);
//g.fillRect(7, height + insets.top - 22, 426, 15);
//g.setColor(Color.black);
//g.drawString(String.format("%e %e %e %e %e",minX*Zoom,minY*Zoom,maxX*Zoom,maxY*Zoom,Zoom),10,height+insets.top-10);
//g.drawLine(insets.left+width/2, insets.top+0, insets.left+width/2, insets.top+height);
//g.drawLine(insets.left+0, insets.top+height/2, insets.left+width, insets.top+height/2);
if (!ctrl) return;
g.drawRect(min(mpX, mdX), min(mpY, mdY), abs(mpX - mdX), abs(mpY - mdY));
}
private BufferedImage newImage() {
int maxX = minX + width;
int maxY = minY + height;
BufferedImage image = new BufferedImage(width, height, TYPE_INT_RGB);
for (int x = minX; x < maxX; x+=1) {
double r = x * Zoom;
for (int y = minY; y < maxY; y+=1) {
double i = y * Zoom;
//System.out.println(xz + " " + yz);
// 0f 1/6f 1/3f 1/2f 2/3f 5/6f
//straight -> red yellow green cian blue magenta <- reverse
image.setRGB(x-minX, y-minY, color(r, i, 360, false, 2/3f));
}
}
return image;
}
private int color(double r0, double i0, int max, boolean straight, float shift) {
int n = -1;
double r=0, i=0, r2=0, i2=0;
do {
i = r*(i+i) + i0;
r = r2-i2 + r0;
r2 = r*r;
i2 = i*i;
}
while (++n < max && r2 + i2 < 4);
return n == max ? 0 : HSBtoRGB(shift + (float) (straight ? n : max-n) / max /* * 11/12f + (straight?0:1)/12f*/, 1, 1);
}
}</lang>
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